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Fermions are particles with an intrinsic angular momentum (i.e. spin) equal to a "half integer" number of fundamental units: $\frac{(2n+1)}{2} \hbar$ for integer $n$. Fermions are required to be in a quantum state that is globally anti-symmetric, which leads to the Pauli Exclusion Principle barring identical fermions from occupying the same quantum state.
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Fermionic partition function
These are coherent states, you need to take a look on what is called "holomorphic representation of path integral". The coherent states which are the eigenvectors of the annihilation operator are not …
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Accepted
Boson or Fermion
You just have to see the total spin, if your atom contains an even number of fermions it is a bosons, so since protons/neutrons/electrons are all fermions, take the sum of these if it is even your atom …